Question

Show that if $f$ is a homomorphism then the set of invertible elements $M^\times$ is commutative

score 76 · Answer 1 · 2026-03-25 08:13:42

76

Views

Show that if $f$ is a homomorphism then the set of invertible elements $M^\times$ is commutative

Published on 25 Mar 2026 - 8:13

score 50 · Answer 2 · 2026-03-28 02:04:46

50

Views

Idempotent Semigroup $S$ with Equivalence Relation $(a R b) \iff (aba=a), (bab=b)$: $S/R$ is commutative - why?

Published on 28 Mar 2026 - 2:04

score 48 · Answer 3 · 2026-03-28 20:07:48

48

Views

Factors of Direct Composite of Subsemigroups are in fact Normal Subgroups

Published on 28 Mar 2026 - 20:07

score 100 · Answer 4 · 2026-03-28 08:51:21

100

Views

Proof of a theorem about generators of uniformly continuous semigroup

Published on 28 Mar 2026 - 8:51

score 28 · Answer 5 · 2026-03-29 10:47:46

28

Views

Prove that a monoid with property $ (a * a' = e) \lor (a' * a = e) $ is a group

Published on 29 Mar 2026 - 10:47

score 51 · Answer 6 · 2026-03-29 02:12:34

51

Views

Is there any category whose objects are semigroup acts and morphisms are semilinear morphism between acts?

Published on 29 Mar 2026 - 2:12

score 49 · Answer 7 · 2022-04-10 15:43:30

49

Views

the power of commuting

Published on 10 Apr 2022 - 15:43

score 65 · Answer 8 · 2022-04-15 09:33:41

65

Views

Semilattice whose Subsets are All Closed -- does it have a special name?

Published on 15 Apr 2022 - 9:33

score 78 · Answer 9 · 2022-04-18 15:02:12

78

Views

A basic question about finite semigroup

Published on 18 Apr 2022 - 15:02

score 89 · Answer 10 · 2022-05-01 17:18:37

89

Views

$S$ is the set of words generated by an alphabet. $A\subset S$ , $x\in S$. How to find if $x$ is generated by concatenating elements of $A$?

Published on 01 May 2022 - 17:18

score 63 · Answer 11 · 2022-05-02 18:32:09

63

Views

Numerical semigroups generated by two elements

Published on 02 May 2022 - 18:32

score 162 · Answer 12 · 2026-02-23 21:17:31

162

Views

How to show that a compact semigroup for which the cancellation law holds is a compact group

Published on 23 Feb 2026 - 21:17

score 50 · Answer 13 · 2026-03-25 11:10:19

50

Views

I have question about a semigroup for a Cauchy problem

Published on 25 Mar 2026 - 11:10

score 666 · Answer 14 · 2026-03-29 12:41:23

666

Views

Can you, given any semigroup, define an identity element to make it a monoid

Published on 29 Mar 2026 - 12:41

score 44 · Answer 15 · 2022-05-11 21:13:15

44

Views

Proving that an associative binary operation gives rise to a group

Published on 11 May 2022 - 21:13

List Question

Show that if $f$ is a homomorphism then the set of invertible elements $M^\times$ is commutative

Idempotent Semigroup $S$ with Equivalence Relation $(a R b) \iff (aba=a), (bab=b)$: $S/R$ is commutative - why?

Factors of Direct Composite of Subsemigroups are in fact Normal Subgroups

Proof of a theorem about generators of uniformly continuous semigroup

Prove that a monoid with property $ (a * a' = e) \lor (a' * a = e) $ is a group

Is there any category whose objects are semigroup acts and morphisms are semilinear morphism between acts?

the power of commuting

Semilattice whose Subsets are All Closed -- does it have a special name?

A basic question about finite semigroup

$S$ is the set of words generated by an alphabet. $A\subset S$ , $x\in S$. How to find if $x$ is generated by concatenating elements of $A$?

Numerical semigroups generated by two elements

How to show that a compact semigroup for which the cancellation law holds is a compact group

I have question about a semigroup for a Cauchy problem

Can you, given any semigroup, define an identity element to make it a monoid

Proving that an associative binary operation gives rise to a group

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